Journal of
Faculty of Civil Engineering


FACULTY JOURNALS
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CONFERENCE PROCEEDINGS
6th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2018 , 2018.y., pp. 209-215


AN APPROXIMATE ANALYTICAL SOLUTION TO LARGE DEFLECTIONS OF A CANTILEVER ROD
 
DOI: 10.14415/konferencijaGFS2018.019
UDC: 624.072.21:517.5
CC-BY-SA 4.0 license
Author : Okuka, Aleksandar S.; Rehlicki Lukešević, Lidija; Szabolcs, Cakó; Spasić, Dragan T.
 
 Summary:
 This paper deals with the deflection of a cantilever rod bent by a uniform load and a concentrated force at its end point, which involves geometrical nonlinearity and the classical Bernoulli-Euler plane elastica theory. The nonlinear two-point boundary value problem describing the equilibrium configuration of that rod was solved by use of the Laplace transform and the method of successive approximations. The obtained analytical approximation of the solution was compared with both numerical and experimental ones obtained in the laboratory.
 
 Keywords:
 Laplace transform, nonlinear boundary value problems, successive approximation, plane elastica